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Problems and Solutions in Real Analysis

Masayoshi Hata
Publisher: 
World Scientific
Publication Date: 
2017
Number of Pages: 
363
Format: 
Paperback
Edition: 
2
Price: 
48.00
ISBN: 
9789813142824
Category: 
Problem Book
[Reviewed by
Fernando Q. Gouvêa
, on
05/17/2017
]

See our review of the first edition. In addition to fixing misprints and making local improvements, for this edition the author has added three new chapters on Bernoulli numbers, metric spaces, and differential equations.

  • Sequences and Limits
  • Infinite Series
  • Continuous Functions
  • Differentiation
  • Integration
  • Improper Integrals
  • Series of Functions
  • Approximation by Polynomials
  • Convex Functions
  • Various Proof ζ(2) = π2/6
  • Functions of Several Variables
  • Uniform Distribution
  • Rademacher Functions
  • Legendre Polynomials
  • Chebyshev Polynomials
  • Gamma Function
  • Prime Number Theorem
  • Bernoulli Numbers
  • Metric Spaces
  • Differential Equations